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Finding the Fourth Proportional to 9,545.28, 14,314.14 and 3,700.32

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Solution

The fourth proportional to 9,545.28, 14,314.14 and 3,700.32 is: 5,549.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.28 : 14,314.14 = 3,700.32 : x
  2. Step 2: Convert to fraction form
    9,545.28/14,314.14 = 3,700.32/x
  3. Step 3: Cross multiply
    9,545.28x = 14,314.14 × 3,700.32
  4. Step 4: Simplify right side
    9,545.28x = 52,966,898.52
  5. Step 5: Solve for x
    x = 52,966,898.52/9,545.28
  6. Step 6: Final answer
    x = 5,549.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.